Since m < 1 and m < 2 are complementary angles wherein the measure of their angles add up to 90°, we can establish the following equation:
m < 1 + m < 2 = 90°
x° + 48° + 2x° = 90°
Combine like terms:
48° + 3x° = 90°
Subtract 48° from both sides:
48° - 48° + 3x° = 90° - 48°
3x = 42°
Divide both sides by 3 to solve for x:
3x/3 = 42/3
x = 14°
Plug in the value of x into the equation to fins m< 1 and m < 2:
m < 1 + m < 2 = 90°
(14° + 48°) + 2(14)° = 90°
62° + 28° = 90°
90° = 90° (True statement)
Therefore:
m < 1 = 62°
m < 2 = 28°
Answer:
The probability that the message will be wrong when decoded is 0.05792
Step-by-step explanation:
Consider the provided information.
To reduce the chance or error, we transmit 00000 instead of 0 and 11111 instead of 1.
We have 5 bits, message will be corrupt if at least 3 bits are incorrect for the same block.
The digit transmitted is incorrectly received with probability p = 0.2
The probability of receiving a digit correctly is q = 1 - 0.2 = 0.8
We want the probability that the message will be wrong when decoded.
This can be written as:

Hence, the probability that the message will be wrong when decoded is 0.05792
Answer:
Alright, so we have to find the LCM of 2.75 and 3.5.
A good start would be to multiply them together to get 9.625, but we want a whole day!
This would be every 77 days :)
Aubrey plays for 150 minutes on the playground.
Answer: C
<u>Step-by-step explanation:</u>
Degree of 5 means there are 5 roots.
If 3 roots are real, then there are 2 remaining - which must be imaginary.